Answer:
4
Step-by-step explanation:
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100
They have 4 in common
100 = 2*2*5*5
84 = 2*2*3*4
the greatest common factor is a prime number whit most appearance in both numbers:
in this case the prime number is 2 and it is repeated twice in both numbers, hence 2*2 = 4
The answer is 81.
Since the power of 4 is even, the result will be positive.
Simplify.
<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>Option</u><u> </u><u>A</u><u>)</u><u> </u><u>81</u><u>.</u>
27 and 16
x + y = 43
x - y = 11
You can add up the two equations so the ys are cancelled out.
2x = 54
x = 27
Plug x in to find y.
27 - y = 11
y = 16
1/32
½×½×½×½×½ = 1/32